Answer:
x = 65°
Step-by-step explanation:
See the attached diagram.
Given lines, p and q are parallel and line a and b are parallel to each other.
So, the closed figure that formed is a parallelogram.
Then, two opposite angles indicated by y are equal.
Now, angle y and angle 50° makes a straight line so, they are supplementary.
Then, 50 + y = 180
⇒ y = 180 - 50 = 130°
Now, angles 2x and y are vertically opposite angles.
Therefore, 2x = 130°
⇒ x = 65° (Answer)
Answer: Eli read 3 historical fiction books , 7 biographies and 1 mystery book.
Step-by-step explanation:
Let x be the number of historical fiction books Eli read.
Then, Number of biographies he read = x+4
Number of mysteries he read = x-2
If he read a total of eleven books during the semester , then we have the following equation :
(Subtract 2 from both sides )
(Divide both sides by 3)
Therefore , Number of historical fiction books Eli read = 3
Number of biographies he read = 3+4=7
Number of mysteries he read =3-2=1
Hence, Eli read 3 historical fiction books , 7 biographies and 1 mystery book.